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Problem $04\mathrm{.}136-$ Steam in a piston$-$cylinder device with stops

A piston$-$cylinder device initially contains $0\mathrm{.}25$ kg of steam at $3\mathrm{.}5$ MPa $,$ superheated by $7\mathrm{.}4C.$ Now the steam loses heat to the surroundings and the piston moves down, hitting a set of stops at which point the cylinder contains saturated liquid water. The cooling continues until the cylinder contains water at $200C.$

Problem $04\mathrm{.}136.$c $-$ Find heat transfer

Determine the amount of heat transfer when the piston first hits the stops $(Q_{in,1-2}).($Round the final answer to three decimal places.$)($Include a minus sign if necessary.$)$

The amount of heat transfer when the piston first hits the stops is $$ kJ $.$